Bicorne

bicorne

What is a bicorne?

Some forms of bicorne were designed to be folded flat so that they could be conveniently tucked under the arm when they were not being worn. A bicorne of such a style is also known as a chapeau-bras or chapeau-de-bras . The bicorne was widely worn until World War I as part of the full dress of officers of most of the worlds navies.

What is the bicorn curve of degree 4?

The bicorn is a plane algebraic curve of degree four and genus zero. It has two cusp singularities in the real plane, and a double point in the complex projective plane at x=0, z=0 . If we move x=0 and z=0 to the origin substituting and perform an imaginary rotation on x bu substituting ix/z for x and 1/z for y in the bicorn curve, we obtain

What is a flat bicorne?

Some forms of bicorne were designed to be folded flat so that they could be conveniently tucked under the arm when they were not being worn. A bicorne of such a style is also known as a chapeau-bras or chapeau-de-bras .

What is the equation for a bicorn?

In geometry, the bicorn, also known as a cocked hat curve due to its resemblance to a bicorne, is a rational quartic curve defined by the equation y 2 ( a 2 − x 2 ) = ( x 2 + 2 a y − a 2 ) 2 . {/displaystyle y^ {2} (a^ {2}-x^ {2})= (x^ {2}+2ay-a^ {2})^ {2}.}

What is a bicorne hat?

Unsourced material may be challenged and removed. The bicorne or bicorn (two-cornered) is a historical form of hat widely adopted in the 1790s as an item of uniform by Europe and American army and naval officers.

What is another name for a bicorne of this style?

A bicorne of this style is also known as a chapeau-bras or chapeau-de-bras . The bicorne was widely worn until World War I as part of the full dress of officers of most of the worlds navies. It survived to a more limited extent between the wars for wear by senior officers in the British, French, US,...

What is a bicorn in math?

For the mythical beast, see Bicorn and Chichevache. In geometry, the bicorn, also known as a cocked hat curve due to its resemblance to a bicorne, is a rational quartic curve defined by the equation y 2 ( a 2 − x 2 ) = ( x 2 + 2 a y − a 2 ) 2 . {/displaystyle y^ {2} (a^ {2}-x^ {2})= (x^ {2}+2ay-a^ {2})^ {2}.}

What is the bicorn curve of degree 4?

The bicorn is a plane algebraic curve of degree four and genus zero. It has two cusp singularities in the real plane, and a double point in the complex projective plane at x=0, z=0 . If we move x=0 and z=0 to the origin substituting and perform an imaginary rotation on x bu substituting ix/z for x and 1/z for y in the bicorn curve, we obtain

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